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Stats Practice. Measures of Central Tendency. On a quiz given to 5 students, the scores were as follows: 17, 19, 20, 22, 22 What is the mean ? 20 What is the median ? 20 What is the mode ? 22. Skewed Distributions.
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Measures of Central Tendency • On a quiz given to 5 students, the scores were as follows: 17, 19, 20, 22, 22 • What is the mean? • 20 • What is the median? • 20 • What is the mode? • 22
Skewed Distributions • Out of 108 students in Mrs. O'Connor's AP Psychology classes, 107 people earned an A on the Chapter 2 Exam. One person earned an F. • What happened to the mean as a result of the one F? • Went down • What type of distribution is this? • Negative
Standard Deviation • Two tests were given. The standard deviation of the first test was 10. The standard deviation of the second test was 15. • Which test had scores that were more spread out? • Second test
Z-scores • Ryan earned a 70 on a normally distributed test with a mean of 60. The standard deviation was 5. What is Ryan's z-score? • +2 • Alyssa earned a 65 on a normally distributed test with a mean of 80. The standard deviation was 15. What is Alyssa's z-score? • -1
Percentile Rank • For a language test with normally distributed scores, the mean was 75 and the standard deviation was 15. Approximately what percentage of test-takers scored a 60 or above? • 84% • For a language test with normally distributed scores, the mean was 40 and the standard deviation was 10. Approximately what percentage of test-takers scored a 50 or above? • 16%
Percentile Rank • Dr. Zimbardo conducted an intelligence test in which the scores were normally distributed. The mean was 85 and the standard deviation was 10. What percentage of people scored a 95 or above? Show your work/ distribution. • 16% • In the above question, what was the variance? 100 • Dr. Milgram conducted a strength test in which the scores were evenly distributed. The mean was 115 and the standard deviation was 5. What percentage of people scored 105 or above? Show your work/distribution. • 97.5% • In the above question, what was the variance? 25